In a queue, A stands 14th from the front and B 17th from the last. C is exactly at the middle of the queue with 16 persons between him and A. How many persons are between B and C?

Correct option is C

Given:
Position of A from front = 14
Position of B from last = 17
C is in the middle of the queue
16 persons between A and C

Formula Used:
Total persons in queue = Position of A from front + Position of B from last – 1
Middle position = (Total + 1) / 2

Solution:
Let’s first find the total number of persons in the queue.

We are told that there are 16 persons between A and C. So, the position of C must be:

If C is after A → C = A + 16 + 1 = 14 + 17 = 31st from front
If C is before A → C = A - 16 - 1 = 14 - 17 = negative → Not possible
So, C is 31st from front

Now, let’s find the total number of persons in the queue:
Since C is in the middle,
Middle position = 31 → So total persons = 2 × 31 - 1 = 61

Now, B is 17th from last, so his position from front = 61 - 17 + 1 = 45

C = 31, B = 45
So, number of persons between B and C = 45 - 31 - 1 = 13

Final Answer: (c) 13